Solving Similar and Congruent Polygons

Lance the alien is 5 feet tall.  His shadow is 8 feet long.  At the same time of day, a tree's shadow is 32 feet long.  What is the height of the tree?

• 20 feet

• 24 feet

• 29 feet

• 51 feet

State if the triangles are similar by SSS.

• Similar but not SSS

• Not Similar

• Yes, by SSS

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

• SSS

• AA

• SAS

• not similar

If three sides of one triangle are proportional to three sides of another triangle, then the two triangles are similar.

• AAA

• SAS

• Not similar

• SSS

Which of these triangle pairs can be proven similar using AA? Mark all that apply.

• 
• 
• 
• 

Solve for x.

• 100

• 1

• 0.1

• 10

How many meters long is the missing side?

Which is NOT a condition for triangle similarity?

• ASA∼

• SAS∼

• SSS∼

• AA∼

Find missing side.

• 1/5

• 5

• 7

• 1/7

Are the triangles similar? If so, what similarity shortcut is used? Show all work.

• Similar.  SAS

• Similar.  AA

• Similar. SSS

• Not Similar